Takagi-Sugeno fuzzy control of a synchronous machine

This paper describes the results of an application of a PDC type T-S fuzzy control to synchronous machine. The non linear mathematical model for the proposed synchronous machine adopted in this work is described by T-S continuous fuzzy models. Next, the control law for T-S fuzzy control based on PDC design is studied. The stability and the stabilisation of the whole closed-loop model are investigated using the quadratic lyaponov function. These conditions were reformulated into terms of Linear Matrix Inequalities (LMI) problem by using a Schur complement. Simulation results for synchronous machine demonstrate the PDC controller's effectiveness.